Q:

# What kinds of sets are in algebra?

A:

The main types of sets in algebra are the finite set, the infinite set, the singleton set, the null set, the subset and the proper set. A finite set is a set that has a predetermined number of elements as its members, while an infinite set does not have a predetermined number of elements, although it typically contains uncountable elements. The set of integers is an infinite set.

## Keep Learning

Credit: Nick Dolding Cultura Getty Images

A set that contains only one element is known as a singleton set, while a set that contains no elements is referred to as a null or void set. Some common set operations include the union of sets and the intersection of sets. The union of sets typically contains all the elements of the sets that make up the union, but in the union of two sets, the elements in both sets are written only once, even if they appear in both sets. The intersection of sets consists of all the elements that are common in all the intersecting sets. There are several laws that govern set operations, which include the commutative, associative and distributive laws, which are all applicable to set unions and intersections. These laws are the basis for the derivation of the identity laws.

Sources:

## Related Questions

• A: Basic problems in Algebra I typically teach students to solve one-step equations to find variables with addition, subtraction, multiplication and division.... Full Answer >
Filed Under:
• A: Algebra is important because it provides a foundation for all higher-level math courses. People use algebra when they attend college and in many careers, s... Full Answer >
Filed Under:
• A: No single person discovered algebra, since various people in different parts of the world discovered it at different times. Some aspects of algebra were ev... Full Answer >
Filed Under:
• A: In addition to finding it useful in a wide variety of everyday applications, Americans need algebra, because those who learn it are better able to compete ... Full Answer >
Filed Under:
PEOPLE SEARCH FOR